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JAIN JOURNAL: Vol-XXXVI, No. 2 October, 2001 It may also be noted that in his treatise, Sphere and Cylinder, the famous Greek mathematician Archimedes 13 (187-212 B.C.) states that the volume of a sphere is 2/3 of that of the cylinder circumscribed about the sphere.14 This proposition amounts to the formula (4) with it was known to him. 15
4. Concluding Remarks
Our findings through this paper are, thus, as follows: a) Nemicandra (c. 981 A.D.) sets forth the rule (v. 17) of the TLS
for finding the volume of a right circular cylinder. b) He might have possibly got its idea from the TP, or other
mathematical text, not extant now. c) Datta's inference that the rule gives the formula for finding
the volume of a prism is incorrect. The rule is given by Nemicandra particularly for a right circular cylinder.
Acknowledgements
The author expresses his sincere gratitude to Prof. L.C. Jain (Jabalpur) for going through the manuscript and for making valuable suggestions. He is also thankful to Dr. Anupam Jain (Indore) and is indebted to Kundakunda Jñānapitha for giving facilities in the preparation of this paper.
13. Florian Cajori, (1958), A History of Mathematics, The Macmillan
Company, The second revised and enlarged edition, New York, p. 36.
14. Archimedes desired that the figure to this proposition be inscribed on
his tomb. This was ordered done by Marcellus.
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15. According to him,
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